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Article Dans Une Revue Mathematical and Computer Modelling Année : 2009

Modelling of hydrodispersive processes in the fissured media by flux limiters schemes (Chalk aquifer, France)

Lahcen Zouhri
Hassan Smaoui
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Erick Carlier
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Abdellatif Ouahsine

Résumé

This paper concerns the numerical schemes describing solute transport in fissured systems which are characterized by the tectonic blocks and spatial repartition of hydraulic properties with dual permeability structures composed of high- and low-permeability blocks of the chalk aquifer (Northern France). Both advection and diffusion mechanisms are taken into account. The novel mathematical approach is based on the Total Variation Diminishing (TVD) schemes. Diffusion processes are considered by comparing five numerical schemes: Upwind, Minmod, Van Leer, Superbee and MUSCL. The estimation of the infected surface shows that the Superbee scheme has the ability to limit the numerical diffusion and reduces the numerical dispersion.

Dates et versions

hal-00401490 , version 1 (03-07-2009)

Identifiants

Citer

Lahcen Zouhri, Hassan Smaoui, Erick Carlier, Abdellatif Ouahsine. Modelling of hydrodispersive processes in the fissured media by flux limiters schemes (Chalk aquifer, France). Mathematical and Computer Modelling, 2009, 50 (3-4), pp.516-525. ⟨10.1016/j.mcm.2009.04.008⟩. ⟨hal-00401490⟩
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